Universal Scherrer equation for graphene fragments

被引：182

作者：

Lim, Daniel J. ^{[1
]}

Marks, Nigel A. ^{[1
]}

Rowles, Matthew R. ^{[2
]}

机构：

[1] Curtin Univ, Dept Phys & Astron, Perth, WA 6102, Australia

[2] Curtin Univ, John Laeter Ctr, Perth, WA 6102, Australia

来源：

CARBON | 2020年 / 162卷

关键词：

X-RAY-DIFFRACTION; CARBON; SCATTERING;

D O I：

10.1016/j.carbon.2020.02.064

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Graphene fragments spanning a wide range of size and shape were studied computationally using the Debye scattering equation. The calculated diffraction patterns were analysed using the Scherrer equation to infer the fragment size, L-a. Comparison with the known fragment sizes reveals a strong affine relationship between L-a and the Scherrer quantity lambda/(Bcos theta). To preserve this relationship, we propose modifying the Scherrer equation to include an empirical additive constant. Our approach solves the well-known problem of size-dependence in the shape factor and yields a universal expression by defining L-a as the square-root of the fragment area. The relationship between observed diffraction peak positions and unit cell parameters is also discussed. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：475 / 480

页数：6

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